@VampireBlue1234 The fact is 64 can be written as a base to the power of an index (fancy way of saying a number to the power of a number) in an infinite amount of ways! Here are some examples: 2^6 (this symbol ^ means 'to the power of'), 4^3, 8^2, 16^1.5, 32^1.2, 64^1, 4096^0.5. The list is endless!

The most important fact that you need to know is that 64 is a square number. Here is a list of square numbers you might like to memorise:

1 = 1^2

4 = 2^2

9 = 3^2

16 = 4^2

25 = 5^2

36 = 6^2

49 = 7^2

64 = 8^2

81 = 9^2

100 = 10^2

121 = 11^2

144 = 12^2

Let's say you are given the equation: 4^x-4 = 64, find the value of x.

3 is the index. In my example, 4 was the base. Since I had 4 as the common base on both sides of the equation, I crossed out 4 from each side, leaving me with x - 4 = 3. The reason I had 3 was: I wanted to write 64 as 4 to the number of some number, and it happens to be 3.

I guess in order to study maths effectively, you have to practice lots of questions that range in difficulty. Also practice worded questions that encourage problem solving skills. If there is a section in maths that you haven't grasped at fully, focus on that topic. You could ask your maths teacher (or even your parents) for further help in a certain section.

In my case, it just so happens that both of my parents are excellent at maths, so I suppose most of my maths skills were inherited.

most of the times a person needs to learn all the powers in indices but if you write down the factors of whatever perfect square a questions asks you to square root, if one of the factors can be multiplied by itself and give you that answer, that number is the square root of the number in the question.